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Simplifying 6w + 32 = 8(w + 6) Reorder the terms: 32 + 6w = 8(w + 6) Reorder the terms: 32 + 6w = 8(6 + w) 32 + 6w = (6 * 8 + w * 8) 32 + 6w = (48 + 8w) Solving 32 + 6w = 48 + 8w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8w' to each side of the equation. 32 + 6w + -8w = 48 + 8w + -8w Combine like terms: 6w + -8w = -2w 32 + -2w = 48 + 8w + -8w Combine like terms: 8w + -8w = 0 32 + -2w = 48 + 0 32 + -2w = 48 Add '-32' to each side of the equation. 32 + -32 + -2w = 48 + -32 Combine like terms: 32 + -32 = 0 0 + -2w = 48 + -32 -2w = 48 + -32 Combine like terms: 48 + -32 = 16 -2w = 16 Divide each side by '-2'. w = -8 Simplifying w = -8
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